How XChronos Updates ELAS(t) to Measure Conscious Time and Symbolic Presence

Author: Jaconaazar Souza Silva
Institution: Instituto Federal de Brasília – Campus Recanto das Emas
Position: Audiovisual Laboratory Technician
ORCID: 0009-0006-5388-8105


Updated Formalization of ELAS(t)

(as derived from the article “RNA-XC: Proposal of the Function ψ(t) for Measuring Subjective Symbolic Density Over Time”)

Revised Equation ELAS(t):

ELAS(t) = Θ ( ∫₀ᵗ [ α·Pₒ(s) + β·Δτ(s) + γ·σ(s) ] ds )


Explanation of Terms:

  • ELAS(t): Symbolic Activation Limit Equation — determines if a Crônon has emerged based on subjective symbolic accumulation over time.
  • ψ(t): Intensity function of subjective symbolic density, expanded into:
    ψ(t) = α · Pₒ(t) + β · Δτ(t) + γ · σ(t)
    Where:
    • Pₒ(t): Degree of ocular or attentional presence
    • Δτ(t): Duration of meaningful pause at time t (in seconds)
    • σ(t): Semantic weight of the symbolic content lived at time t
    • α, β, γ: Calibration constants (between 0 and 1)
  • Θ: Threshold function — either a step function or sigmoid, used to determine activation.

Interpretation:

  • This formulation now integrates phenomenological inputs directly into a computable neural function.
  • The equation models how subjective time, presence, and symbolism accumulate toward a threshold of existential intensity, formally marking the emergence of a Crônon.
  • It allows AI systems to sense, not just predict — to activate meaning, not merely detect patterns.

Updated Keywords:

symbolic time, ψ(t), ELAS(t), subjective density, Crônon, RNA-XC, conscious neural architecture, phenomenological computing, threshold functions, symbolic AI

10.5281/zenodo.15207889

https://zenodo.org/records/15207889

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